Of 300 female registered voters surveyed, 120 indicated they were planning to vote for the incumbent president; while of 400 male registered voters, 140 indicated they were planning to vote for the incumbent president.At alpha = .05, test to see if there is a significant difference between the proportions of females and males who plan to vote for the incumbent president. (Use the p-value approach.)Given that alpha is .05, the conclusion isGroup of answer choicesdo not reject hoNo answer text provided.revise horeject ho

To answer this question, we need to conduct a hypothesis test for the difference between two proportions. Here are the steps:

Step 1: State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: p1 = p2 (There is no difference in voting proportions between females and males) Alternative hypothesis: p1 ≠ p2 (There is a difference in voting proportions between females and males)

Step 2: Formulate an analysis plan. For this analysis, the significance level is defined as alpha = 0.05. We will use a two-proportion z-test to determine whether the observed difference in proportions is statistically significant.

Step 3: Analyze sample data. Using sample data, we calculate the pooled sample proportion (p) and the standard error (SE). Using those measures, we compute the z-score.

• Number of successes for females (x1) = 120, sample size for females (n1) = 300
• Number of successes for males (x2) = 140, sample size for males (n2) = 400

Pooled sample proportion: p = (x1 + x2) / (n1 + n2) = (120 + 140) / (300 + 400) = 260 / 700 = 0.3714

Standard error: SE = sqrt{ p * ( 1 - p ) * [ (1/n1) + (1/n2) ] } = sqrt{ 0.3714 * ( 1 - 0.3714 ) * [ (1/300) + (1/400) ] } = 0.0287

z-score: z = (p1 - p2) / SE = (120/300 - 140/400) / 0.0287 = -1.57

Step 4: Interpret the results. We use the Normal Distribution Calculator to find that the probability that a standard normal random variable is less than -1.57 is 0.0582. Because this p-value (0.0582) is greater than the significance level (0.05), we cannot reject the null hypothesis.

So, the conclusion is: do not reject Ho. There is not enough evidence at the .05 significance level to conclude that the proportion of females who plan to vote for the incumbent president differs from the proportion of males.